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Double copy structure and the flat space limit of conformal correlators in even dimensions.

Lipstein, Arthur E. and McFadden, Paul (2020) 'Double copy structure and the flat space limit of conformal correlators in even dimensions.', Physical review D., 101 (12). p. 125006.


We analyze the flat space limit of 3-point correlators in momentum space for general conformal field theories in even spacetime dimensions, and show they exhibit a double copy structure similar to that found in odd dimensions. In even dimensions, the situation is more complicated because correlators contain branch cuts and divergences which need to be renormalized. We describe the analytic continuation of momenta required to extract the flat space limit, and show that the flat space limit is encoded in the leading singularity of a 1-loop triangle integral which serves as a master integral for 3-point correlators in even dimensions. We then give a detailed analysis of the renormalized correlators in four dimensions where the flat space limit of stress tensor correlators is controlled by the coefficients in the trace anomaly.

Item Type:Article
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Publisher statement:Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Date accepted:27 May 2020
Date deposited:09 June 2020
Date of first online publication:08 June 2020
Date first made open access:09 June 2020

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